Answer:
Step-by-step explanation:
ε = {x: 2≤ x ≤30}
M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}
T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}
1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}
2. M - T =
n(M) - n(T)
15- 14 = 1
3. P(MT)
(MT) = M ∩ T = 0
P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}
4. P' = not a prime number
T' = not odd number = M
P' ∪(M∩T')
P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}